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1. Introduction. 2. Backstepping Control. 3. Quantizers and Quantized Control Systems. SECTION I: INPUT QUANTIZATION COMPENSATION. 4. Adaptive Stabilization of Nonlinear Uncertain Systems with Input Quantization. 5. Adaptive Tracking of Nonlinear Uncertain Systems with Input Quantization. 6. Decentralized Adaptive Control of Interconnected Systems with Input. Quantization. 7. Output Feedback Control for Uncertain Nonlinear Systems with Input. Quantization. SECTION II: STATE QUANTIZATION COMPENSATION. 8. Adaptive Control of Systems with Bounded State Quantization. 9. Adaptive Control of Systems with Sector-Bounded State Quantization. SECTION III: INPUT AND STATE/OUTPUT QUANTIZATION COMPENSATION. 10. Adaptive State Feedback Control of Systems with Input and State Quantization. 11. Adaptive Output Feedback Control of Systems with Input and Output. Quantization. SECTION IV: APPLICATIONS. 12. Adaptive Attitude Control of Helicopter with Quantization. 13. Quantized Distributed Secondary Control for DC Microgrid. 14. Conclusions and Future Challenges. Appendices.

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