<P><STRONG>1. Introduction</STRONG></P><P>1.1 2-D Systems</P><P>1.2 Communication Constraints</P><P>1.3 Recent Progress on Filtering for 2-D Systems</P><P>1.4 Outline</P><B><P>2. Minimum-Variance Recursive Filtering for Two-Dimensional Systems with Degraded Measurements: Boundedness and Monotonicity </P></B><P>2.1 Problem Formulation</P><P>2.2 The Minimum-Variance Filter Design</P><P>2.3 Performance Analysis</P><P>2.4 Numerical Example</P><P>2.5 Summary</P><B><P>3. Robust Kalman Filtering for Two-Dimensional Systems with Multiplicative Noises and Measurement Degradations</P></B><P>3.1 Problem Formulation and Preliminaries</P><P>3.2 Upper Bound for The Generalized Error Variance</P><P>3.3 Suboptimal Filter Design</P><P>3.4 Numerical Example</P><P>3.5 Summary</P><B><P>4. Robust Finite-Horizon Filtering for Two-Dimensional Systems with Randomly Varying Sensor Delays</P></B><P>4.1 Problem Formulation</P><P>4.2 Preliminaries</P><P>4.3 Finite-Horizon Robust Kalman Filter Design</P><P>4.4 Numerical Example</P><P>4.5 Summary</P><B><P>5. Recursive Filtering for Two-Dimensional Systems with Missing Measurements subject to Uncertain Probabilities</P></B><P>5.1 Problem Formulation</P><P>5.2 Recursive Filter Design</P><P>5.3 Numerical Example</P><P>5.4 Summary</P><B><P>6. Resilient State Estimation for Two-Dimensional Shift-Varying Systems with Redundant Channels</P></B><P>6.1 Problem Formulation and Preliminaries</P><P>6.2 Resilient Filter Design</P><P>6.3 Numerical Examples</P><P>6.4 Summary</P><B><P>7. Recursive Distributed Filtering for Two-Dimensional Shift-Varying Systems Over Sensor Networks Under Random Access Protocols</P></B><P>7.1 Problem Formulation and Preliminaries</P><P>7.2 Main Results</P><P>7.3 Numerical Example</P><P>7.4 Summary</P><B><P>8. Resilient Filtering for Linear Shift-Varying Repetitive Processes under Uniform Quantizations and Round-Robin Protocols</P></B><P>8.1 Problem Formulation </P><P>8.2 Main Results </P><P>8.3 Numerical Example</P><P>8.4 Summary</P><B><P>9. Event-Triggered Recursive Filtering for Shift-Varying Linear Repetitive Processes</P></B><P>9.1 Problem Formulation</P><P>9.2 Main Results</P><P>9.3 Numerical Example</P><P>9.4 Summary</P><B><P>10. Conclusions and Future Topics </P></B>