Impulsive Control in Continuous and Discrete-Continuous Systems

1. Front Matter

   Pages i-xii

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2. Introduction

   • Boris M. Miller, Evgeny Ya. Rubinovich

   Pages 1-38

3. Discrete-continuous systems with impulse control

   • Boris M. Miller, Evgeny Ya. Rubinovich

   Pages 39-101

4. Optimal impulse control problem with restricted number of impulses

   • Boris M. Miller, Evgeny Ya. Rubinovich

   Pages 103-136

5. Representation of generalized solutions via differential equations with measures

   • Boris M. Miller, Evgeny Ya. Rubinovich

   Pages 137-192

6. Optimal control problems within the class of generalized solutions

   • Boris M. Miller, Evgeny Ya. Rubinovich

   Pages 193-235

7. Optimality conditions in control problems within the class of generalized solutions

   • Boris M. Miller, Evgeny Ya. Rubinovich

   Pages 237-324

8. Observation control problems in discrete-continuous stochastic systems

   • Boris M. Miller, Evgeny Ya. Rubinovich

   Pages 325-375

9. Appendix. Differential equations with measures

   • Boris M. Miller, Evgeny Ya. Rubinovich

   Pages 377-423

10. Back Matter

    Pages 425-447

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Impulsive Control in Continuous and Discrete-Continuous Systems is an up-to-date introduction to the theory of impulsive control in nonlinear systems. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuous time-transformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book is excellent as a textbook or reference for a senior or graduate-level course on the subject, as well as a reference for researchers in related fields.

• Nonlinear system
• differential equation
• optimal control
• ordinary differential equations

• Institute for Information Transmission Problems, Moscow, Russia

  Boris M. Miller

• Institute of Control Sciences, Moscow, Russia

  Evgeny Ya. Rubinovich

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