Contents -- Preface -- Associate Editors -- Website -- PART 1. LINEAR SYSTEMS -- Problem 1.1. Stability and composition of transfer functions -- Problem 1.2. The realization problem for Herglotz-Nevanlinna functions -- Problem 1.3. Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization? -- Problem 1.4. Partial disturbance decoupling with stability -- Problem 1.5. Is Monopoli's model reference adaptive controller correct? -- Problem 1.6. Model reduction of delay systems -- Problem 1.7. Schur extremal problems -- Problem 1.8. The elusive iff test for time-controllability of behaviors -- Problem 1.9. A Farkas lemma for behavioral inequalities -- Problem 1.10. Regular feedback implementability of linear differential behaviors -- Problem 1.11. Riccati stability -- Problem 1.12. State and first order representations -- Problem 1.13. Projection of state space realizations -- PART 2. STOCHASTIC SYSTEMS -- Problem 2.1. On error of estimation and minimum of cost for wide band noise driven systems -- Problem 2.2. On the stability of random matrices -- Problem 2.3. Aspects of Fisher geometry for stochastic linear systems -- Problem 2.4. On the convergence of normal forms for analytic control systems -- PART 3. NONLINEAR SYSTEMS -- Problem 3.1. Minimum time control of the Kepler equation -- Problem 3.2. Linearization of linearly controllable systems -- Problem 3.3. Bases for Lie algebras and a continuous CBH formula -- Problem 3.4. An extended gradient conjecture -- Problem 3.5. Optimal transaction costs from a Stackelberg perspective -- Problem 3.6. Does cheap control solve a singular nonlinear quadratic problem? -- Problem 3.7. Delta-Sigma modulator synthesis -- Problem 3.8. Determining of various asymptotics of solutions of nonlinear timeoptimal problems via right ideals in the moment algebra.

Problem 3.9. Dynamics of principal and minor component flows -- PART 4. DISCRETE EVENT, HYBRID SYSTEMS -- Problem 4.1. L2-induced gains of switched linear systems -- Problem 4.2 The state partitioning problem of quantised systems -- Problem 4.3. Feedback control in flowshops -- Problem 4.4. Decentralized control with communication between controllers -- PART 5. DISTRIBUTED PARAMETER SYSTEMS -- Problem 5.1. Infinite dimensional backstepping for nonlinear parabolic PDEs -- Problem 5.2. The dynamical Lame system with boundary control: on the structure of reachable sets -- Problem 5.3. Null-controllability of the heat equation in unbounded domains -- Problem 5.4. Is the conservative wave equation regular? -- Problem 5.5. Exact controllability of the semilinear wave equation -- Problem 5.6. Some control problems in electromagnetics and fluid dynamics -- PART 6. STABILITY, STABILIZATION -- Problem 6.1. Copositive Lyapunov functions -- Problem 6.2. The strong stabilization problem for linear time-varying systems -- Problem 6.3. Robustness of transient behavior -- Problem 6.4. Lie algebras and stability of switched nonlinear systems -- Problem 6.5. Robust stability test for interval fractional order linear systems -- Problem 6.6. Delay-independent and delay-dependent Aizerman problem -- Problem 6.7. Open problems in control of linear discrete multidimensional systems -- Problem 6.8. An open problem in adaptative nonlinear control theory -- Problem 6.9. Generalized Lyapunov theory and its omega-transformable regions -- Problem 6.10. Smooth Lyapunov characterization of measurement to error stability -- PART 7. CONTROLLABILITY, OBSERVABILITY -- Problem 7.1. Time for local controllability of a 1-D tank containing a fluid modeled by the shallow water equations -- Problem 7.2. A Hautus test for infinite-dimensional systems.

Problem 7.3. Three problems in the field of observability -- Problem 7.4. Control of the KdV equation -- PART 8. ROBUSTNESS, ROBUST CONTROL -- Problem 8.1 H∞ - norm apporoximation -- Problem 8.2. Noniterative computation of optimal value in H∞ control -- Problem 8.3. Determining the least upper bound on the achievable delay margin -- Problem 8.4. Stable controller coefficient perturbation in floating point implementation -- PART 9. IDENTIFICATION, SIGNAL PROCESSING -- Problem 9.1. A conjecture on Lyapunov equations and principal angles in subspace identification -- Problem 9.2. Stability of a nonlinear adaptive system for filtering and parameter estimation -- PART 10. ALGORITHMS, COMPUTATION -- Problem 10.1 Root-dusting for multivariate polynomials and robust stability analysis -- Problem 10.2. When is a pair of matrices stable? -- Problem 10.3. Freeness of multiplicative matrix semigroups -- Problem 10.4. Vector-valued quadratic forms in control theory -- Problem 10.5. Nilpotent bases of distributions -- Problem 10.6. What is the characteristic polynomial of a signal flow graph? -- Problem 10.7. Open problems in randomized μ analysis.